Geometric PDEs in the Grushin Plane: Weighted Inequalities and Flatness of Level Sets

DOI10.1093/imrn/rnp088zbMath1186.35031OpenAlexW2026658536MaRDI QIDQ3647141

Fausto Ferrari, Enrico Valdinoci

Publication date: 30 November 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnp088

zbMATH Keywords

Lie groupssemilinear problemsphase transition modelsubelliptic problemsgeometric Sobolev-Poincaré inequality

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) General properties and structure of other Lie groups (22E20) Semilinear elliptic equations (35J61) Subelliptic equations (35H20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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